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Two blocks of masses 3 kg and 6kg rest o...

Two blocks of masses 3 kg and 6kg rest on horizontal smooth surface. The 3 kg block is attached to a spring with a long constant `k=900Nm^(-1)` which is compressed 2m from beyond 1m from mean position. 3kg mass strikes the 6 kg mass and the two stick together.

A

velocity of the combined masses immediately after the collision is 10 `ms^(-1)`

B

velocity of the combined masses immediately after thecollision is 5 `ms^(-1)`

C

amplitude of the resulting oscillation is `sqrt(2)` m

D

amplitude of the resulting oscillation is `sqrt(5)`/2 m

Text Solution

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The correct Answer is:
A, C
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Knowledge Check

  • Two blocks of masses 3kg and 6kg rest on a horizontal smooth surface. The 3kg block is attached to a spring with a force constant k=900 Nm^(-1) which is compressed 2m from beyond the equilibrium position. 3kg mass strikes the 6kg mass and two stick together-

    A
    velocity of the combined masses immediately arter the collision is `10 ms^(-1)`
    B
    velocity of the conbined masses immediately after the collision is `5ms^(-1)`
    C
    Amplitude of the resulting oscillation is `sqrt2 m`
    D
    Amplitude of the resulting oscillation is `sqrt5//2m`

  • Two blocks of masses 3kg block is attached to a spring with a force constant, k k = 900N//ma which is compressed 2m initially from its equilibrium position. When 3kg mass is released, it strikes the 6kg mass and the two stick togther in an inelastic collision. The velocities of a particle executing S.H.M. are 30cm//s and 16 cm//s when its displacements are 8cm and 15cm from the equilibrium position. then its amplitude of oscillation in cm is:

    A
    `25`
    B
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    C
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    D
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    A
    `10 m//s`
    B
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    C
    `15m//s`
    D
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